A coupling of FEM-BEM for a kind of Signorini contact problem

被引：1

作者：

Hu, QY ^{[1
]}

Yu, DH ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 2001年 / 44卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Signorini contact; FEM-BEM coupling; variational inequality; iterative method; convergence rate;

D O I：

10.1007/BF02880139

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a kind of coupled nonlinear problem with Signorini contact conditions. To solve this problem, we discuss a new coupling of finite element and boundary element by adding an auxiliary circle. We first derive an asymptotic error estimate of the approximation to the coupled FEM-BEM variational inequality. Then we design an iterative method for solving the coupled system, in which only three standard subproblems without involving any boundary integral equation are solved. It will be shown that the convergence speed of this iteration method is independent of the mesh size.

引用

页码：895 / 906

页数：12

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